(8x-3)(7x-7)=

Solution for (8x-3)(7x-7)= equation:

Simplifying
(8x + -3)(7x + -7) = 0

Reorder the terms:
(-3 + 8x)(7x + -7) = 0

Reorder the terms:
(-3 + 8x)(-7 + 7x) = 0

Multiply (-3 + 8x) * (-7 + 7x)
(-3(-7 + 7x) + 8x * (-7 + 7x)) = 0
((-7 * -3 + 7x * -3) + 8x * (-7 + 7x)) = 0
((21 + -21x) + 8x * (-7 + 7x)) = 0
(21 + -21x + (-7 * 8x + 7x * 8x)) = 0
(21 + -21x + (-56x + 56x2)) = 0

Combine like terms: -21x + -56x = -77x
(21 + -77x + 56x2) = 0

Solving
21 + -77x + 56x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(3 + -11x + 8x2) = 0

Factor a trinomial.
7((3 + -8x)(1 + -1x)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(3 + -8x)' equal to zero and attempt to solve:

Simplifying
3 + -8x = 0

Solving
3 + -8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -8x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8x = 0 + -3
-8x = 0 + -3

Combine like terms: 0 + -3 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0.375, 1}